Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
9th Edition
ISBN: 9781337098120
Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Chapter 9, Problem 23P
An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion, a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the horizontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of s = 1.00.
a. Use a one-tailed hypothesis test with α = .01 to demonstrate that the individuals in the sample significantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean of μ - 10 inches.)
b. Calculate the estimated d and r2, the percentage of variance accounted for, to measure the size of this effect.
c. Construct a 95% confidence interval for the population mean estimated length of the vertical line.
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 9 Solutions
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 9.1 - In what circumstances is the t statistic used...Ch. 9.1 - A sample of n = 4 scores has SS = 48. What is the...Ch. 9.1 - On average, what value is expected for the t...Ch. 9.2 - A sample of n = 9 scores is selected from a...Ch. 9.2 - A hypothesis test produces a t statistic of t =...Ch. 9.2 - A sample is selected from a population and a...Ch. 9.3 - A sample of n = 25 is selected from a population...Ch. 9.3 - Prob. 2LCCh. 9.3 - A sample of n = 4 scores is selected from a...Ch. 9.3 - A researcher uses a sample of n = 25 individuals...
Ch. 9.4 - A sample is selected from a population with a mean...Ch. 9.4 - A researcher predicts that a treatment will...Ch. 9.4 - A researcher fails to reject the null hypothesis...Ch. 9 - Under what circumstances is a t statistic used...Ch. 9 - A sample of n = 16 scores has a mean of M = 56 and...Ch. 9 - Find the estimated standard error for the sample...Ch. 9 - The following sample of n = 4 score was obtained...Ch. 9 - The following sample was obtained from a...Ch. 9 - Explain why t distributions tend to be flatter and...Ch. 9 - Find the t values that form boundaries of the...Ch. 9 - Find the t value that forms the boundary of the...Ch. 9 - A random sample n = 12 individuals is selected...Ch. 9 - A random sample of n 4 individuals is selected...Ch. 9 - Infants, even newborns, prefer to look at...Ch. 9 - The spotlight effect refers to overestimating the...Ch. 9 - To evaluate the effect of a treatment, a sample is...Ch. 9 - To evaluate the effect of a treatment, a sample of...Ch. 9 - Weinstein, McDermott, and Roediger (2010) report...Ch. 9 - To evaluate the effect of a treatment, a sample is...Ch. 9 - To evaluate the effect of a treatment a sample of...Ch. 9 - Standardized measures seem to indicate that the...Ch. 9 - Ackerman and Goldsmith (2011) found that students...Ch. 9 - Oishi and Shigehiro (2010) report that people who...Ch. 9 - McGee and Shevlin (2009) demonstrated that an...Ch. 9 - Belsky, Weinraub, Owen, and Kelly (2001) reported...Ch. 9 - An example of the vertical-horizontal illusion is...
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